1. Warm Up Simplify 3(x + 2) -2(2y + 3) -4(-3p + 4) 3(-5z – 1)
(-4k – 3)(-7)
Solutions
3x + 6
-4y – 6
12p – 16
-15z – 3
28k + 21

2. 5.1 Simplifying Expressions
Content Objective
Language Objective
Assignment
We will use algebraic terminology correctly.
I can use algebraic terminology to explain the parts of and simplify expressions.
Practice Workbook; pg 63; #1-19

3. Algebraic Terminology
Term Parts of an expression that are combined.
Like Term Identical Variables with corresponding exponents.
Coefficient The number at the front of the variable.
Constant Term A term with no variable, a number.

4. Parts of an expression.

5. Identify the Parts Problem: Terms: Like Terms: Coefficients:
Constants:
r + 2s + 3r
r, 2s, 3r
r & 3r
1, 2, 3
none

6. Identify the Parts Problem: Terms: Like Terms: Coefficients:
Constants:
11w + 9z + 3z + 5w
11w, 9z, 3z, 5w
11w & 5w; 9z & 3z
11, 9, 3, 5
none

7. Identify the Parts Problem: Terms: Like Terms: Coefficients:
Constants:
11x + 2 – 4x + 13
11x, 2, -4x, 13
11x & -4x; 2 & 13
11, -4
2, 13

8. Identify the Parts Problem: Terms: Like Terms: Coefficients:
Constants:
14 + (-7j) + 29 – 17k
14, -7j, 29, -17k
14 & 29
-7, -17

9. Identify the Parts Problem: Terms: Like Terms: Coefficients:
Constants:
29k + (-17k)
29k, -17k, 28, -16
29k & -17k; 28 & -16
29 & -17
28 & -16

10. Simplifying Expressions
Problem:
3x + 4x
(3 + 4)x Distributive Property
7x Simplify

11. Simplifying Expressions
Problem:
-9y + 7y + 5z
(-9 + 7)y + 5z Distributive Property
-2y + 5z Simplify

12. Simplifying Expressions
Problem:
2(4 + x) + x
2(4) + 2(x) + x Distributive Property
8 + 2x + x Simplify
8 + (2 + 1)x Combine like terms
8 + 3x Simplify

13. Simplifying Expressions
Problem:
-5(3y – 6) + 7y
-5(3y) – (-5)6 + 7y Distr. Property
-15y – (-30) + 7y Simplify
-15y + 7y Comm. Prop. & Simplify
( )y Distr. Property
-8y Simplify